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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 876 · 40 sums
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The method (Undo in reverse): ax + b = c → ax = c − b → x = (c − b) ÷ a. ax − b = c → ax = c + b. x/a + b = c → x/a = c − b → x = a × (c − b). a(x + b) = c → divide by a first: x + b = c ÷ a. Word problems: call the unknown x, write the equation, solve it, then check with the story.

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  1. 1.Pooja’s mother is twice as old as Pooja. Their ages add up to 21 years. How old is Pooja?
  2. 2.Ishaan’s mother is three times as old as Ishaan. Their ages add up to 24 years. How old is Ishaan?
  3. 3.Tara’s mother is three times as old as Tara. Their ages add up to 48 years. How old is Tara?
  4. 4.Solve: 2(t + 3) = 34. What is t?
  5. 5.Solve: 2x − 8 = 4. What is x?
  6. 6.Solve: m/5 + 2 = 9. What is m?
  7. 7.Solve: 5n − 3 = 17. What is n?
  8. 8.Solve: 2(y + 8) = 26. What is y?
  9. 9.Joseph thinks of a number, multiplies it by 2 and then adds 3. The result is 17. What is the number?
  10. 10.Solve: x/2 + 2 = 15. What is x?
  11. 11.Pooja thinks of a number, multiplies it by 4 and then adds 2. The result is 30. What is the number?
  12. 12.Tara thinks of a number, multiplies it by 9 and then adds 8. The result is 80. What is the number?
  13. 13.Solve: 8y + 14 = 78. What is y?
  14. 14.Solve: 6p − 27 = 63. What is p?
  15. 15.Solve: p/6 + 13 = 23. What is p?
  16. 16.Nisha thinks of a number, multiplies it by 3 and then adds 19. The result is 31. What is the number?
  17. 17.Solve: 2t − 1 = 1. What is t?
  18. 18.Arjun thinks of a number, multiplies it by 9 and then adds 26. The result is 98. What is the number?
  19. 19.Solve: 7y + 23 = 114. What is y?
  20. 20.Solve: 3x + 4 = 22. What is x?
  21. 21.Solve: 3t + 30 = 72. What is t?
  22. 22.Solve: n/9 + 18 = 32. What is n?
  23. 23.Solve: 6(x + 2) = 30. What is x?
  24. 24.Solve: 4(m + 5) = 32. What is m?
  25. 25.Saanvi thinks of a number, multiplies it by 2 and then adds 18. The result is 26. What is the number?
  26. 26.Saanvi thinks of a number, multiplies it by 5 and then adds 28. The result is 58. What is the number?
  27. 27.Saanvi’s mother is four times as old as Saanvi. Their ages add up to 25 years. How old is Saanvi?
  28. 28.Kavya thinks of a number, multiplies it by 9 and then adds 22. The result is 94. What is the number?
  29. 29.Solve: 8t + 28 = 124. What is t?
  30. 30.Solve: 3y − 24 = 9. What is y?
  31. 31.Solve: 5t − 3 = 7. What is t?
  32. 32.Solve: 4m + 21 = 41. What is m?
  33. 33.Solve: 4x − 26 = 22. What is x?
  34. 34.Solve: 8(t + 6) = 144. What is t?
  35. 35.Rahul is 6 years older than a cousin. Their ages add up to 36 years. How old is the cousin?
  36. 36.Solve: 6n + 20 = 98. What is n?
  37. 37.Nisha thinks of a number, multiplies it by 5 and then adds 10. The result is 20. What is the number?
  38. 38.Solve: 4p − 20 = 8. What is p?
  39. 39.Farhan is 7 years older than a cousin. Their ages add up to 31 years. How old is the cousin?
  40. 40.Solve: 6n − 34 = 20. What is n?

Answer key

  1. 7
  2. 6
  3. 12
  4. 14
  5. 6
  6. 35
  7. 4
  8. 5
  9. 7
  10. 26
  11. 7
  12. 8
  13. 8
  14. 15
  15. 60
  16. 4
  17. 1
  18. 8
  19. 13
  20. 6
  21. 14
  22. 126
  23. 3
  24. 3
  25. 4
  26. 6
  27. 5
  28. 8
  29. 12
  30. 11
  31. 2
  32. 5
  33. 12
  34. 12
  35. 15
  36. 13
  37. 2
  38. 7
  39. 12
  40. 9

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